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993674401 = 4124359233
BaseRepresentation
bin111011001110100…
…100010010100001
32120020202220000121
4323032210102201
54013340040101
6242333520241
733424043626
oct7316442241
92506686017
10993674401
1146a9a3315
12238943081
1312ab33c25
1495d8234d
155c3820a1
hex3b3a44a1

993674401 has 24 divisors (see below), whose sum is σ = 1064400480. Its totient is φ = 926849280.

The previous prime is 993674389. The next prime is 993674417. The reversal of 993674401 is 104476399.

It is not a de Polignac number, because 993674401 - 27 = 993674273 is a prime.

It is a super-3 number, since 3×9936744013 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993674491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4264581 + ... + 4264813.

It is an arithmetic number, because the mean of its divisors is an integer number (44350020).

Almost surely, 2993674401 is an apocalyptic number.

It is an amenable number.

993674401 is a deficient number, since it is larger than the sum of its proper divisors (70726079).

993674401 is a wasteful number, since it uses less digits than its factorization.

993674401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 993674401 is about 31522.6014313540. The cubic root of 993674401 is about 997.8870053985.

The spelling of 993674401 in words is "nine hundred ninety-three million, six hundred seventy-four thousand, four hundred one".

Divisors: 1 41 43 59 233 1681 1763 2419 2537 9553 10019 13747 72283 99179 104017 391673 410779 563627 591121 4264697 16841939 23108707 24235961 993674401